edu.jas.poly

Class Examples

java.lang.Object

edu.jas.poly.Examples

public class Examples
extends java.lang.Object

Examples for polynomials usage.

Author:

Heinz Kredel.

Constructor Summary

Constructors

Constructor and Description
Examples()

Method Summary

Modifier and Type	Method and Description
static void	example0() example0. for PPPJ 2006.
static void	example1() example1. random polynomial with rational coefficients.
static void	example10() example10.
static void	example11() example11. degree matrix;
static void	example12() example12. type games.
static void	example13() example13. poly parser for strange syntax.
static void	example2() example2. random polynomial with coefficients of rational polynomials.
static void	example3() example3. random rational algebraic number.
static void	example4() example4. random modular algebraic number.
static void	example5() example5. random solvable polynomial with rational coefficients.
static void	example6() example6.
static void	example7() example7.
static void	example8() example8.
static void	example9() example9.
protected static long	getPrime()
static void	main(java.lang.String[] args) main.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Examples

public Examples()

Method Detail

main

public static void main(java.lang.String[] args)

main.

example0

public static void example0()

example0. for PPPJ 2006.

example1

public static void example1()

example1. random polynomial with rational coefficients. Q[x_1,...x_7]

example2

public static void example2()

example2. random polynomial with coefficients of rational polynomials. Q[x_1,...x_7][y_1,...,y_3]

example3

public static void example3()

example3. random rational algebraic number. Q(alpha)

getPrime

protected static long getPrime()

example4

public static void example4()

example4. random modular algebraic number. Z_p(alpha)

example5

public static void example5()

example5. random solvable polynomial with rational coefficients. Q{x_1,...x_6, {x_2 * x_1 = x_1 x_2 +1, ...} }

example6

public static void example6()

example6. Fateman benchmark: p = (x+y+z)^20; q = p * (p+1) Z[z,y,x]

example7

public static void example7()

example7. Fateman benchmark: p = (x+y+z)^20; q = p * (p+1) Q[z,y,x]

example8

public static void example8()

example8. Chebyshev polynomials T(0) = 1 T(1) = x T(n) = 2x * T(n-1) - T(n-2)

example9

public static void example9()

example9. Legendre polynomials P(0) = 1 P(1) = x P(n) = 1/n [ (2n-1) * x * P(n-1) - (n-1) * P(n-2) ]

example10

public static void example10()

example10. Hermite polynomials H(0) = 1 H(1) = 2 x H(n) = 2 * x * H(n-1) - 2 * (n-1) * H(n-2)

example11

public static void example11()

example11. degree matrix;

example12

public static void example12()

example12. type games.

example13

public static void example13()

example13. poly parser for strange syntax.